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This concise text introduces students to analytical geometry, covering basic ideas and methods. Readily intelligible to any student with a sound mathematical background, it is designed both for undergraduates and for math majors. It will prove particularly valuable in preparing readers for more advanced treatments. The text begins with an overview of the analytical geometry of the straight line, circle, and the conics in their standard forms. It proceeds to discussions of translations and rotations of axes, and of the general equation of the second degree. The concept of the line at infinity is introduced, and the main properties of conics and pencils of conics are derived from the general equation. The fundamentals of cross-ratio, homographic correspondence, and line-coordinates are explored, including applications of the latter to focal properties. The final chapter provides a compact account of generalized homogeneous coordinates, and a helpful appendix presents solutions to many of the examples.
Analytical Quadrics focuses on the analytical geometry of three dimensions. The book first discusses the theory of the plane, sphere, cone, cylinder, straight line, and central quadrics in their standard forms. The idea of the plane at infinity is introduced through the homogenous Cartesian coordinates and applied to the nature of the intersection of three planes and to the circular sections of quadrics. The text also focuses on paraboloid, including polar properties, center of a section, axes of plane section, and generators of hyperbolic paraboloid. The book also touches on homogenous coordinates. Concerns include intersection of three planes; circular sections of central quadric; straight line; and circle at infinity. The book also discusses general quadric and classification and reduction of quadric. Discussions also focus on linear systems of quadrics and plane-coordinates. The text is a valuable reference for readers interested in the analytical geometry of three dimensions.
Contemporary Spanish Cinema offers an essential analysis of the main trends and issues in Spanish film since the death of Franco in 1975. While taking account of cinema during the Franco dictatorship, the book focuses principally on developments in the last two decades. Acknowledging the sheer breadth and diversity of Spanish film production since the ending of the regime and the transition to democracy, this study includes chapters on Spanish film’s obsessive concern with the past on popular genre film (including the comedy and the thriller), on representations of gender and sexuality and the work of women film professionals, both behind and in front of the camera, as well as on film produced in Spain’s autonomous communities, particularly in Catalonia and the Basque Country. This book offers a unique and up-to-date focus on a wide range of materials, including work on such established directors as Carlos Saura, Víctor Erice, Pedro Almodóvar, Pilar Miró, Bigas Lina and Josefina Molina as well as exciting new talents such as Julio Medem, Juanma Bajo Ulloa, Alex de la Iglesia, Icíar Bollan, Isabel Coixet and Marta Balletbò-Coll.
This collection of essays analyzes shifting notions of self as represented in films and novels written and produced in Spain in the twenty-first century. In doing so, the anthology establishes an international dialogue of multicultural perspectives on trends in contemporary Spain, and serves as a useful reference for scholars and students of Spanish literature and cinema. The primary avenues of exploration include representations of recovery in post-crisis Spain, marginalized texts and identities, silenced subjectivities, intersecting relationships, and spaces of desire and control. The individual chapters focus on major events, such as the global economic crisis, the tension between majority and minority cultures within Spain, and the ongoing repercussions of past trauma and historical memory. In doing so, they build upon theories of identity, subjectivity, gender, history, memory, and normativity.
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Introduction / McLoughlin and O'Connor -- Ireland and the SCW: the setting, Spain and Europe in 1936, clericalism and anti-clericalism in Spain and Ireland, politics in Ireland / O'Connor -- Northern Ireland and the SCW: contrasting perspectives of Unionists and nationalists on Spain / O'Connor -- First actions: Madrid, Lopera, and the defection of the Irish from the British battalion to the Lincoln battalion in January 1936 / O'Connor -- Blood and Boredom at the Jarama: February-June 1937 / McLoughlin -- Frank Ryan and the politics of the SCW in Ireland / O'Connor -- Republican offensives (I): Pozoblanco, Brunete / McLoughlin -- Republican Offensives (II): Aragón, Teruel / McLoughlin -- Retreat and Capture, March 1938: Irish POWs / McLoughlin -- Frank Ryan's trial and imprisonment, 1938-1939 / McLoughlin -- Attempts to Frank Ryan Released, 1939-1940 / McLoughlin -- The Irish volunteers: discipline, desertion and punishment / McLoughlin and O'Connor -- Over the Ebro: Last battle of the Internationals, July-September 1938 / McLoughlin -- Withdrawal, homecoming, and the politics of commemoration / O'Connor -- Conclusion / McLoughlin and O'Connor.
#1 New York Times bestseller “Barry will teach you almost everything you need to know about one of the deadliest outbreaks in human history.”—Bill Gates "Monumental... an authoritative and disturbing morality tale."—Chicago Tribune The strongest weapon against pandemic is the truth. Read why in the definitive account of the 1918 Flu Epidemic. Magisterial in its breadth of perspective and depth of research, The Great Influenza provides us with a precise and sobering model as we confront the epidemics looming on our own horizon. As Barry concludes, "The final lesson of 1918, a simple one yet one most difficult to execute, is that...those in authority must retain the public's trust. The...
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